Triple Pentominoes Update

Livio Zucca's Triple Pentominoes studies the problem of finding a minimal figure that can be tiled with any of three pentominoes. Many of the solutions are complex. Where no planar solution is known, a reëntrant solution is given. Solutions were contributed by Paolo Licheri, Mauro Casini, Gabriele Carelli, Odette De Meulemeester, Andrew Clarke, Giovanni Resta, Silvio Sergio, Patrick Hamlyn, Jorge Luis Mireles, Mauro Carelli, Mauro De Filippis, and Zucca.

New Closed Solutions

Here is a closed solution for F+L+X, replacing a reëntrant solution:

Here is a closed solution for F+T+W, replacing a reëntrant solution:

Here is a closed solution for I+P+T, replacing a reëntrant solution:

Here is a closed solution for L+X+Y, replacing a reëntrant solution:

Here is a closed solution for N+V+W, replacing a reëntrant solution:

Here is a closed solution for U+V+W, replacing a reëntrant solution:

Improved Closed Solutions

Here is a solution for I+N+W with 10 tiles, improving one with 20:

Here is a solution for I+P+V with 10 tiles, improving one with 30:

Here is a solution for I+W+Y with 12 tiles, improving one with 20:

Here is a solution for P+U+Y with 16 tiles, improving one with 24:

New Reëntrant Solution

Here is a reëntrant solution for F+U+Z:

Last revised 2010-02-26.

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Col. George Sicherman [ HOME | MAIL ]